Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups

TL;DR

This paper establishes a Stepanov differentiability theorem for intrinsic graphs within the sub-Riemannian Heisenberg groups, advancing the understanding of differentiability in non-Euclidean geometric contexts.

Contribution

It introduces a Stepanov differentiability theorem specifically for intrinsic graphs in Heisenberg groups, a novel extension in sub-Riemannian geometry.

Findings

Proves Stepanov differentiability for intrinsic graphs in Heisenberg groups

Extends differentiability concepts to sub-Riemannian geometric structures

Provides foundational results for analysis in non-Euclidean spaces

Abstract

We prove a Stepanov differentiability type theorem for intrinsic graphs in sub-Riemannian Heisenberg groups.